Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2\times2\times2\left({(-5)}^{2} - 5\times4\right) $$
Correct Answer
$$ 40$$ or 40.0000

2. Simplify 2

Simplify the following expression: $$ \left(-6 - 1\right)\left(-3 - -4\right) - {\left(\frac{-5}{-3}\right)}^{2} $$
Correct Answer
$$ -7 - {\left(\frac{5}{3}\right)}^{2}$$ or -9.77778

3. Fractions 1

Simplify the following expression: $$ \frac{-4}{2} - \frac{-4}{5} $$
Correct Answer
$$ \frac{-6}{5}$$ or -1.2

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{2}{4}}{\frac{-6}{5}} $$
Correct Answer
$$ \frac{-5}{12}$$ or -0.4166666666666667

5. Significant figures

1. Write the following to 3 significant figures: 189.30895
Correct Answer
189 or $$1.89\times10^{2}$$
2. Write the following to 3 significant figures: 27.465883
Correct Answer
27.5 or $$2.75\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.634974
Correct Answer
$$6.350\times10^{-1}$$
2. Write the following in standard form to 5 significant digits: 0.108609
Correct Answer
$$1.0861\times10^{-1}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.00004058
Correct Answer
$$41\times10^{-6}$$
2. Write the following in preferred standard form to 2 significant digits: 3.018
Correct Answer
$$3.0\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ \frac{{\left(\frac{-1}{-1}\right)}^{2}}{{\left(-1 - 6\right)}^{\frac{-1}{4}}} $$
Correct Answer
$$ \frac{1}{{(-7)}^{\frac{-1}{4}}}$$ or NaN

9. Simplify 1

Simplify the following expression: $$ \left(-6 + -3\right)\left(6 - 6\right) - {\left(-2 - 5\right)}^{2} $$
Correct Answer
$$ -49$$ or -49.0000

10. Simplify 2

Simplify the following expression: $$ \frac{2(-6)(-1)}{\left(-3 - -5\right)\frac{-6}{-3}} $$
Correct Answer
$$ 3$$ or 3.00000


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